553375611648 has 288 divisors, whose sum is σ = 1759226649600. Its totient is φ = 171030196224.

The previous prime is 553375611631. The next prime is 553375611671. The reversal of 553375611648 is 846116573355.

553375611648 is a `hidden beast` number, since 5 + 5 + 3 + 37 + 561 + 1 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×553375611648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 553375611594 and 553375611603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6127590 + ... + 6217242.

Almost surely, 2^553375611648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553375611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879613324800).

553375611648 is an abundant number, since it is smaller than the sum of its proper divisors (1205851037952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553375611648 is a wasteful number, since it uses less digits than its factorization.

553375611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89744 (or 89724 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 553375611648 in words is "five hundred fifty-three billion, three hundred seventy-five million, six hundred eleven thousand, six hundred forty-eight".